SOLUTION: The numerator and denominator of a fraction are in a ratio 2:3. If 8 is added to both numbers, the new fraction becomes 10:13. Find the original fraction.

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Question 685055: The numerator and denominator of a fraction are in a ratio 2:3. If 8 is added to both numbers, the new fraction becomes 10:13. Find the original fraction.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let the common factopr of the ratio be x
numberator will be 2x
denominator will be 3x
%282x%2B8%29%2F%283x%2B8%29=+10%2F13
cross multiply
13(2x+8)=10(3x+8)
26x+104 = 30x+80
30x-24x=104-80
6x=24
x= 4
2x=8
3x=12
8/12 is the fraction